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Finding the Fourth Proportional to 24,993.70, 37,509 and 11,846.11

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Solution

The fourth proportional to 24,993.70, 37,509 and 11,846.11 is: 17,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,993.70 : 37,509 = 11,846.11 : x
  2. Step 2: Convert to fraction form
    24,993.70/37,509 = 11,846.11/x
  3. Step 3: Cross multiply
    24,993.70x = 37,509 × 11,846.11
  4. Step 4: Simplify right side
    24,993.70x = 444,335,739.99
  5. Step 5: Solve for x
    x = 444,335,739.99/24,993.70
  6. Step 6: Final answer
    x = 17,777.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.